Quantum equivalence principle and finite particle creation in expanding universes

Journal Article · Thu Jan 01 00:00:00 EST 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524746· OSTI ID:6674882

Castagnino, M; Weder, R

A formulation of the equivalence principle in quantum field theory is introduced. The quantum equivalence principle yields implementable Bogolyubov transformations. In this way we find a theory for a scalar field in curved space--time where particle creation is finite for every value of the coupling constant. In the particular case of conformal coupling the initial conditions of positive and negative frequency wave functions coincide with the ones of a first order WKB approximation. The coefficients of the Bogolyubov transformations are exactly computed and the created energy density is also finite.

• Research Organization: Departmento de Matematicas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, Buenos Aires, Argentina
• OSTI ID: 6674882
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 22:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
CREATION OPERATORS
EQUIVALENCE PRINCIPLE
BOGOLYUBOV TRANSFORMATION
BOUNDARY CONDITIONS
COSMOLOGY
COUPLING CONSTANTS
GREEN FUNCTION
KLEIN-GORDON EQUATION
SCALAR FIELDS
SPACE-TIME
UNIVERSE
WAVE FUNCTIONS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
TRANSFORMATIONS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
640106 - Astrophysics & Cosmology- Cosmology